Question

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, what is the volume of the​ sculpture? Use 3.14 for piπ HELP Me PLZ

Answer 1

the volume of the​ sculpture is
`Volume = 64.11ft^3` .

Explanation:

Here we have , An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the​ sculpture . Let's find out:

We know that

⇒
`Circumference = 2\pi r`

According to question ,

⇒
`21.980 = 2\pi r`

⇒
`(21.980)/(2\pi) = r`

⇒
`r=3.5`

Now , We know that Volume of cone :

⇒
`Volume = (1)/(3)\pi r^2h`

⇒
`Volume = (1)/(3)(3.14) (3.5)^25`

⇒
`Volume = 64.11ft^3`

Therefore , the volume of the​ sculpture is
`Volume = 64.11ft^3` .